The weekly demand function for x units of a product sold by only one fir, is p=300-1/2x, and the average cost of production and sale is bar c= 100+2x dollars. find the x value wich maximizes profit; also find the price which maximises that profit.

Q: When a wholesaler sold a product at $40 per unit, sales were 330 units per week. After a price…

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Q: The demand curve of a firm is p=1200 – 2lq and its total cost is C(q) = 2q° – 66q² + 600q +1000…

A: In this question, concept of maxima and minima of profit function is applied. Maxima and minima The…

Q: The demand function for a particular product is given by D(x) = v-0.25x² + 6x + 110 dollars, where x…

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Q: Given the demand function p=20-0.0002x and x=30 , What is the price elasticity of demand at x=30?

A: The given function                      p=20-0.0002x

Q: For the cost function C(x) = 2950 +670 +0.8x2 and the demand function p(x) = 2010, find the…

A: Given: Cost Function C(x) = 2950 + 670x + 0.8x2 Demand Function p(x) = 2010 Find the production…

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5600 –- x2 dollars,…

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Q: The demand function for a particular product is given by D(x) = V2x2 + 8x + 110 dollars, where x is…

A: Solution-

Q: Find the maximum profit where x that must be produced and sold. Assume that​ revenue, R(x), and​…

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Q: It has been determined that the cost of producing x units of a certain item is 6x + 860. The demand…

A: Given Cost function C(x) = 6 x + 860 Demand function D(x) = 50 - 0.5x

Q: When a wholesaler sold a product at $30 per unit, sales were 186 units per week. After a price…

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Q: The monthly demand function for x units of a product sold by a monopoly is p=6400-0.5x^2 dollars…

A: The monthly demand function for x units of a product sold by a monopoly is Revenue function is…

Q: If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x) =…

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Q: If the demand function for a product is given by p(x) = -0.25x² + x + 99, where x is the number of…

A: Given problem is 1:

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A: Given: Demand function: p=40-0.1x Cost function: C(x)=25x+450 Now the revenue function is:…

Q: A manufacture has been selling 1800 television sets a week at $540 each. A market survey indicates…

A: Given : A manufacture has been selling 1800 television sets a week at $540 each. A market survey…

Q: Suppose the supply and demand functions for a product are given by 6p-q=180 and (p+20)q=30,000…

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Q: If the demand curve for a particular commodity is p=0.09x+51 and the total cost function…

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Q: When a wholesaler sold a product at $40 per unit, sales were 248 units per week. After a price…

A: To find the the price

Q: If the total cost function for a product is C(x) = 490 + 0.1x2 dollars, producing how many units,…

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Q: When a wholesaler sold a product at $50 per unit, sales were 208 units per week. After a price…

A: Given that  The demand function is linear. A product is sold at $50 per unit and the sales is 208…

Q: If the total cost function for a product is C(x) = 250 + 0.1x2 dollars, producing how many units, x,…

A: Average cost is the ratio of total cost of production by x. Find the function of average cost and…

Q: The demand function for a certain commodity is p(x)=10−0.001x, where p is measured in dollars and x…

A: Given data:     The expression for the demand function for a certain commodity is: p(x)=10-0.001x.…

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5600 – dollars, and…

A: Given,          The monthly demand function for x units of a product sold by a monopoly is…

Q: The demand function for monopolist's product is p = 700 – 2q and the average cost per unit for…

A: Given that the demand function for the monopolist's product is p=700-2q. Then, the revenue function…

Q: The demand function for a certain product is p = V500 – 2q², where q is the quantity of the product…

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Q: A manufacture has been selling 2000 television sets a week at $390 each. A market survey indicates…

A: a) We are given the demand or price function when for 2000 Television i.e. p(2000)=390. if rebate of…

Q: For the given cost and demand functions, find the production level that will maximize profit. (Round…

A: you can clearly understand if you follow the below solution   production level that will maximize…

Q: If the total cost function for a product is  C(x) = 10 + 0.1x2 dollars,  producing how many units,…

A: Given cost function: Now,

Q: When the admission price for a baseball game was $18 per ticket, 36,000 tickets were sold. When the…

A: Given- When the admission price for a baseball game was $18 per ticket, 36,000 tickets were sold.…

Q: The daily demand price function of selling x units of a product is given by p 100-4x. What is the…

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Q: The demand and supply functions for your college newspaper are, q = −8,000p + 1,600 and q = 3,000p +…

A: Given

Q: A manufacture has been selling 1700 television sets a week at $420 each. A market survey indicates…

A:

Q: When a wholesaler sold a product at $30 per unit, sales were 280 units per week. After a price…

A: The solution is given below:

Q: When a wholesaler sold a product at $40 per unit, sales were 270 units per week. After a price…

A:

Q: A manufacture has been selling 1500 television sets a week at $540 each. A market survey indicates…

A: Solution is given below:

Q: If the demand function for a product is given by p(x) = -0.25x² + x +99, where x is the number of…

A: Given demand function for the product is px=−0.25x2+x+99. We have to find the revenue of selling 6…

Q: A manufacture has been selling 1900 television sets a week at $510 each. A market survey indicates…

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (98 −…

A: Given : The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q =…

Q: At a price of $40 per item, 120 items are demanded by consumers, but at a price of $70 per item,…

A: To find out the equation of the demand function.

Q: If the demand function for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x)…

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Q: The demand function for a particular product is given by D(x) = V0.5x² – 2x + 110 dollars, where x…

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Q: where x is the number of units sold. What is the marginal revenue when 9 items are sold? Round your…

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Q: The marginal revenue from a product is given by r(x) = 50 – 3x – x2. Find the demand function for…

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Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

A: We have to find demand function, maximum revenue, maximum profit.

Q: Find the consumer surplus for the demand curve P = 420 – 10q when g * = 20 items are sold at the…

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Q: The demand and supply functions for your college newspaper are, q = −11,000p + 2,200 and q = 3,000p…

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Q: How large a rebate should the company offer the buyer in order to maximize its revenue

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Q: When a wholesaler sold a product at $30 per unit, sales were 350 units per week. After a price…

A: First we need to make the equation for the demand function. We'll take the two points of data and…

Q: he monthly demand function for x units of a product 1 sold by a monopoly is p = 5900 – x² dollars,…

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Q: The monthly demand function for x units of a product sold by a monopoly is  p = 6400 − 1/2x2…

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